The median AD of a triangle ABC is produced and a perpendicular CF is dropped on it. BE is perpendicular to AD. If BC = 34 cm and DF = 8 cm, what is the length (in cm) of BE?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 15.
According to the given question,
Triangle BED is congruent to triangle CDF, BE = CF
In triangle BED, BD2 = BE2 + ED2
⇒ 172 = BE2 + 82
⇒ BE2 = 289 - 64
⇒ BE2 = 225
⇒ BE = 15